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Finding the Fourth Proportional to 6,211.47, 9,321.53 and 4,014.75

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Solution

The fourth proportional to 6,211.47, 9,321.53 and 4,014.75 is: 6,024.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.47 : 9,321.53 = 4,014.75 : x
  2. Step 2: Convert to fraction form
    6,211.47/9,321.53 = 4,014.75/x
  3. Step 3: Cross multiply
    6,211.47x = 9,321.53 × 4,014.75
  4. Step 4: Simplify right side
    6,211.47x = 37,423,592.49
  5. Step 5: Solve for x
    x = 37,423,592.49/6,211.47
  6. Step 6: Final answer
    x = 6,024.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.